Advanced Modern Algebra: Third Edition, Part I (Graduate Studies in Mathematics) - Hardcover

Rotman, Joseph J.

Hardcover

ISBN 10: 1470415542 ISBN 13: 9781470415549

Publisher: American Mathematical Society, 2015

Synopsis

This new edition, now in two parts, has been significantly reorganized and many sections have been rewritten. This first part, designed for a first year of graduate algebra, consists of two courses: Galois theory and Module theory. Topics covered in the first course are classical formulas for solutions of cubic and quartic equations, classical number theory, commutative algebra, groups, and Galois theory. Topics in the second course are Zorn's lemma, canonical forms, inner product spaces, categories and limits, tensor products, projective, injective, and flat modules, multilinear algebra, affine varieties, and Grobner bases.

About this title

About the Author

Joseph J. Rotman, University of Illinois at Urbana-Champaign, IL, USA.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2015
• Language: English
• ISBN 10: 1470415542
• ISBN 13: 9781470415549
• Binding: Hardcover
• Edition number: 3
• Number of pages: 709